It is a lot different but we have a propane heater that you are supposed to hook to a tank outside, Donny bought copper tubing long enough to keep the grill tank far enough from the heater and we used it in the house. I think as long as you keep anything flammable away from the heater all will be good.
It must be cramped inside your tent with you the dogs, your electronics, and water jugs, plus a bed and all your stuff.
Yeah I have used the same setup that I have now with a five foot hose and it has always worked fine. The heater also has a sensor that will cut it off if there is too much CO2 in the air.
Yes the tent is very cramped and on a slope! Most of my gear is in the other big tent though and it is the one that I am worried about collapsing as soon as it snows here.
Maybe you can let it down on top of your things before it snows and cover it with plastic or a tarp. That might keep it from ripping.
That is not a bad idea. The condensation would be awful in that scenario but it might be better than losing the tent.